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A Finslerian extension of the gravitational field. II - MaRDI portal

A Finslerian extension of the gravitational field. II (Q1120838)

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scientific article; zbMATH DE number 4102017
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A Finslerian extension of the gravitational field. II
scientific article; zbMATH DE number 4102017

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    A Finslerian extension of the gravitational field. II (English)
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    1989
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    [For part I, cf. ibid. 17, 813-818 (1986; Zbl 0603.53020).] The author studies a Finslerian metrical structure in the form \(g_{\lambda k}(x,y)=\gamma_{\lambda k}(x)+h_{\lambda k}(x,y)\) where \(\gamma_{\lambda k}(x)\) is a four-dimensional Riemann metric signifying the external field spanned by points x and \(h_{\lambda k}(x,y)\) is, in general, a four-dimensional Riemann metric signifying the internal field spanned by vectors y. From the vector bundle point of view the (y)-field may be regarded as the fibre at the point x of the base (x)-field. However, the total space of this vector bundle may be considered as unified field between (x)- and (y)-fields. Certain features are also discussed.
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